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- W4200365237 abstract "Abstract We study families of metrics on automorphic vector bundles associated with representations of the modular group. These metrics are defined using an Eisenstein series construction. We show that in certain cases, the residue of these Eisenstein metrics at their rightmost pole is a harmonic metric for the underlying representation of the modular group. The last section of the paper considers the case of a family of representations that are indecomposable but not irreducible. The analysis of the corresponding Eisenstein metrics, and the location of their rightmost pole, is an open question whose resolution depends on the asymptotics of matrix-valued Kloosterman sums." @default.
- W4200365237 created "2021-12-31" @default.
- W4200365237 creator A5016145476 @default.
- W4200365237 date "2021-12-03" @default.
- W4200365237 modified "2023-09-23" @default.
- W4200365237 title "Eisenstein metrics" @default.
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- W4200365237 doi "https://doi.org/10.4153/s0008414x21000626" @default.
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